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Finding the Fourth Proportional to 120,310.92, 166,005.54 and 75,573

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Solution

The fourth proportional to 120,310.92, 166,005.54 and 75,573 is: 104,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,310.92 : 166,005.54 = 75,573 : x
  2. Step 2: Convert to fraction form
    120,310.92/166,005.54 = 75,573/x
  3. Step 3: Cross multiply
    120,310.92x = 166,005.54 × 75,573
  4. Step 4: Simplify right side
    120,310.92x = 12,545,536,674.42
  5. Step 5: Solve for x
    x = 12,545,536,674.42/120,310.92
  6. Step 6: Final answer
    x = 104,275.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.